30 v(t)= 100 sin(10r) at t< 0 AC v(t)- 200 sin(10/) at t>0 A coil has been connected to an AC source for a long time and at t=0 the voltage source has changed from vs(t)= 100 sin(10) to v(t)= 200 sin(10r). If the reactance and resistance of the coil is 40 and 30 respectively, then, the circuit current i(t) is
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- Let Vs=530tᶾ v, leg t >0 and iL (0) = 1 A, in the circuit shown, at t=0.2s, determine the values of the energy stored in the capacitor and the coil. The circuit is in the attached image.A 40 Ω resistor and a 50 μ F capacitor are connected in series and supplied with analternating voltage v = 283 sin 314 t. The supply is switched on at the instant when the voltageis zero. Determine the expression for the instantaneous current at time t.A resistance of 10 ohm, an inductor of 300 mH and a capacitor of 50 uF are connected in series. If the AC voltage supplied to the connection is given by v = 300 sin (2 π 50 t + 30), write the equation for the current.
- The current in the 20 mH inductor is 10 cos(10,000t + 30°)mA.Calculate (a) the inductive reactance; (b) the impedance of the inductor;(c) the phasor voltage V; and (d) the steady-state expression for v(t)A conducting coil, with current i(t) = 4.40e−0.0250t sin(120πt), with i in amperes and t in seconds, is placed next to a second coil, end to end. At t = 0.720 s, a lab tech measures the emf across the second coil, and the result is −3.50 V. What is the mutual inductance (in mH) of the coils?Assume that the current flow through the resistor, IR, is 15 A; the current flow through the inductor, IL is 36 A; and the circuit has an apparent power of 10,803 VA. The frequency of the AC voltage is 60 Hz. ET ER EL IT IR15A IL36A Z R XL VA10,803 P VARSL PF L
- H5. An RCL circuit connected in series has R = 180 ohms, C = 1/280 farad, L = 20 henries, and an applied voltage E(t) = 10 sin t. Assuming no initial charge on the capacitor, but an initial current of 1 ampere at t = 0 when the voltage is first applied, find the subsequent charge on the capacitor at t=0.5. Use 4 decimal places.Find the impedance theoretically of a wire if it carries the frequency 10 kHz have a voltage is 8v, the current is 2mA, resistance is 12 kΩ , inductance 27 mH and capacitance 0.2 µfThe starting voltage of the C = 0.05 microfarad capacitor given in the figure is V0 = 30 Volts and the starting current of the coil is I0 = 0 amperes. in this case the voltage response of the circuit; For t> = 0, since V (t) = - 10 e-5000 + 40e-20000 volts, iL (t) current iL (t) current t = 0.0003 mA per second.
- COURSE: Electrical EngineeringSUBJECT: Electrical ApparatusINSTRUCTIONS:• Write the GIVEN with their respective symbols and units.• Do not skip the SOLUTIONS, do it step-by-step with their respective symbols and units• Round up to 3 three decimal places the FINAL ANSWERS and BOX it. PROBLEM:A capacitor in series with a 66 Ω resistor is connected to a 120 V, 60 Hz source. If the impedance of the circuit is 116 Ω, determine the size of the capacitor.The current source in the circuit shown generates the current pulse i g ( t ) = 0, t<0, i g ( t ) = 8 e −300t −8 e −1200t A, t≥0. Find (a) v(0); (b) the instant of time, greater than zero, when the voltage v passes through zero; (c) the expression for the power delivered to the inductor; (d) the instant when the power delivered to the inductor is maximum; (e) the maximum power; (f) the instant of time when the stored energy is maximum; and (g) the maximum energy stored in the inductor.A circuit is constructed with an AC generator, a resistor, capacitor and inductor as shown. The generator voltage varies in time as ε =Va - Vb = εmsinωt, where εm = 120 V and ω = 726 radians/second. The values for the remaining circuit components are: R = 62 Ω, L = 95.6 mH, and C = 13.8μF. 4) What is t1, the first time after t = 0 when the voltage across the inductor is zero? 6) What is VC = Vd - Va, the voltage across the capacitor, at time t = 0? Note that VC is a signed number.